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calculation · Voltage Intensifier Circuit · computed

VIC design session v116: best candidate (Q=47.7, 98.6kHz)

Sweep: screen-guided: live [Choke L (each), Turns, Wire gauge], refined score 0.616

Cell: 10mm rod in 14.0mm tube × 50mm, 2 cell(s) parallel → C_eff = 1.42nF, bulk water R = 54744Ω. Water/electrodes (Randles): 0.5ppm Na+ @ 5°C, surface ×0.25 → λ_D 102nm, C_dl 3.4µF, cell series R 23.7Ω, displacement current 98.0%, breakdown margin ×228. Fig-8 voltammetry (4,798,661): τ_EDL 186546.0µs (18386.9 carrier cycles to charge), Faradaic leakage at peak 26.2mA (leak score 0.79 — keep amp leakage inhibited while voltage climbs the ladder). Vapor-film discharge (CGDE onset, 573V across 0.1mm film): regime sub-breakdown, film Paschen 684V, 228 Td — INSIDE the 3-6 eV cold-chemistry window. Townsend α/γ: γ = 0.02 (electrode lever), criterion M = γ(e^{αd}−1) = 0.144 → SUB-CRITICAL, the target corner: avalanche multiplying, γ feedback still open, gas stays cold. Per-molecule (series micro-capacitor chain): 7.41M molecules across 2.00mm → 77.31 µV/molecule (polarization (µV band)). Chokes: 2 × 0.000919H (20 turns, AWG 18, 2m wire, AC R 0.1Ω each). At resonance f_r = 98.57kHz: Xl = 1138Ω, Xc = 1138Ω, tank Q = 47.7, coil Q = 6496.7. Cell voltage 573V from 12V drive (×47.7). Tank current 0.50A circulating (CW upper bound — rate wire/switch for this); average input 10mA at 2% duty. No hard violations (band, wire length, dielectric). Average current is scored, not gated. Score 0.794.

Basis

Confidence
0.70
Method
townsend-v5
Recorded
Published
30 Aug 2026
Device
Voltage Intensifier Circuit
Component
choke
Source Ref
design session v116
Notebook Id
1650

design-loop Q resonance